102964616161 has 27 divisors (see below), whose sum is σ = 117068999187. Its totient is φ = 90488442000.

The previous prime is 102964616149. The next prime is 102964616207. The reversal of 102964616161 is 161616469201.

The square root of 102964616161 is 320881.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63847687761 + 39116928400 = 252681^2 + 197780^2 .

It is not a de Polignac number, because 102964616161 - 2⁷ = 102964616033 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (102964616761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 109419951 + ... + 109420891.

Almost surely, 2^102964616161 is an apocalyptic number.

102964616161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

102964616161 is the 320881-st square number.

102964616161 is the 160441-st centered octagonal number.

It is an amenable number.

102964616161 is a deficient number, since it is larger than the sum of its proper divisors (14104383026).

102964616161 is an frugal number, since it uses more digits than its factorization.

102964616161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1966 (or 983 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 102964616161 in words is "one hundred two billion, nine hundred sixty-four million, six hundred sixteen thousand, one hundred sixty-one".